Information on Result #1017451
Linear OOA(4955, 855, F49, 3, 21) (dual of [(855, 3), 2510, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(4914, 54, F49, 3, 10) (dual of [(54, 3), 148, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 14, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
- extracting embedded OOA [i] based on digital (4, 14, 54)-net over F49, using
- linear OOA(4941, 801, F49, 3, 21) (dual of [(801, 3), 2362, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4941, 2403, F49, 21) (dual of [2403, 2362, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(4941, 2401, F49, 21) (dual of [2401, 2360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- OOA 3-folding [i] based on linear OA(4941, 2403, F49, 21) (dual of [2403, 2362, 22]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.